Theorems · Theorem · real analysis
Real.le_exp_log
∀ (x : ℝ), x ≤ Real.exp (Real.log x)
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Real.logstatement and proof · cited by 939
- Real.expstatement and proof · cited by 871
- zero_le_oneproof · cited by 316
- le_abs_selfproof · cited by 113
- Real.exp_zeroproof · cited by 81
- Real.exp_log_eq_absproof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- ProbabilityTheory.measure_ge_le_exp_cgfproof · cited by 0
- ProbabilityTheory.measure_le_le_exp_cgfproof · cited by 0